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Finding the Fourth Proportional to 52.84, 79.25 and 23.93

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Solution

The fourth proportional to 52.84, 79.25 and 23.93 is: 35.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.84 : 79.25 = 23.93 : x
  2. Step 2: Convert to fraction form
    52.84/79.25 = 23.93/x
  3. Step 3: Cross multiply
    52.84x = 79.25 × 23.93
  4. Step 4: Simplify right side
    52.84x = 1,896.43
  5. Step 5: Solve for x
    x = 1,896.43/52.84
  6. Step 6: Final answer
    x = 35.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.